Advanced Topics in Nonsmooth Dynamics

Description

This book discusses emerging topics in the area of nonsmooth dynamics research, such as numerical methods for nonsmooth systems, impact laws for multi-collisions, nonlinear vibrations and control of nonsmooth systems. It documents original work of researchers at the European Network for NonSmooth Dynamics (ENNSD), which provides a cooperation platform for researchers in the field and promotes research focused on nonsmooth dynamics and its applications. Since the establishment of the network in 2012, six ENNSD symposia have been organized at different European locations. The network brings together 40 specialists from 9 different countries in and outside Europe and a wealth of scientific knowledge has been gathered and developed by this group of experts in recent years. The book is of interest to both new and experienced researchers in the field of nonsmooth dynamics. Each chapter is written in such a way as to provide an introduction to the topic for researchers from other fields. Front Matter ....Pages i-viii Comparisons of Multiple-Impact Laws For Multibody Systems: Moreau’s Law, Binary Impacts, and the LZB Approach (Ngoc Son Nguyen, Bernard Brogliato)....Pages 1-45 Variational Analysis of Inequality Impact Laws for Perfect Unilateral Constraints (Tom Winandy, Michael Baumann, Remco I. Leine)....Pages 47-92 Periodic Motions of Coupled Impact Oscillators (Guillaume James, Vincent Acary, Franck Pérignon)....Pages 93-134 Mathematical Aspects of Vibro-Impact Problems (Laetitia Paoli)....Pages 135-189 Nonsmooth Modal Analysis: From the Discrete to the Continuous Settings (Anders Thorin, Mathias Legrand)....Pages 191-234 Variational and Numerical Methods Based on the Bipotential and Application to the Frictional Contact (Géry de Saxcé)....Pages 235-267 Passive Control of Differential Algebraic Inclusions - General Method and a Simple Example (Claude-Henri Lamarque, Alireza Ture Savadkoohi)....Pages 269-289 Experimental Validation of Torsional Controllers for Drilling Systems (N. van de Wouw, T. Vromen, M. J. M. van Helmond, P. Astrid, A. Doris, H. Nijmeijer)....Pages 291-334 On the Constraints Formulation in the Nonsmooth Generalized-\(\alpha \) Method (Olivier Brüls, Vincent Acary, Alberto Cardona)....Pages 335-374 On Solving Contact Problems with Coulomb Friction: Formulations and Numerical Comparisons (Vincent Acary, Maurice Brémond, Olivier Huber)....Pages 375-457